Emily predicted her car payment to be $250 each month. Her actual car payment is $275 each month. Enrique predicted his car payment to be $200 each month. His actual car payment is $225 each month. a. By what percent was Emily's prediction off? $25 off b. By what percent was Enrique's prediction off? $25 off

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Emily predicted her car payment to be $250 each month. Her actual car payment is $275 each month. Enrique predicted his car payment to be $200 each month. His actual car payment is $225 each month.

a. By what percent was Emily’s prediction off?

b. By what percent was Enrique’s prediction off?

**Explanations:**

- Both Emily and Enrique's predictions were $25 off from the actual payments. 
- To find the percentage off, use the formula: 

  \[ \text{Percent Off} = \left( \frac{\text{Amount Off}}{\text{Predicted Amount}} \right) \times 100 \]

- For Emily: 
  \[ \text{Percent Off} = \left( \frac{25}{250} \right) \times 100 = 10\% \]

- For Enrique:
  \[ \text{Percent Off} = \left( \frac{25}{200} \right) \times 100 = 12.5\% \]

Thus, Emily’s prediction was off by 10% and Enrique’s prediction was off by 12.5%.
Transcribed Image Text:Emily predicted her car payment to be $250 each month. Her actual car payment is $275 each month. Enrique predicted his car payment to be $200 each month. His actual car payment is $225 each month. a. By what percent was Emily’s prediction off? b. By what percent was Enrique’s prediction off? **Explanations:** - Both Emily and Enrique's predictions were $25 off from the actual payments. - To find the percentage off, use the formula: \[ \text{Percent Off} = \left( \frac{\text{Amount Off}}{\text{Predicted Amount}} \right) \times 100 \] - For Emily: \[ \text{Percent Off} = \left( \frac{25}{250} \right) \times 100 = 10\% \] - For Enrique: \[ \text{Percent Off} = \left( \frac{25}{200} \right) \times 100 = 12.5\% \] Thus, Emily’s prediction was off by 10% and Enrique’s prediction was off by 12.5%.
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